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1220113321011 = 3213371014016959
BaseRepresentation
bin10001110000010100011…
…010111100110000110011
311022122022210110200102200
4101300110122330300303
5124442243002233021
62332302354514243
7154102355052624
oct21602432746063
94278283420380
101220113321011
114304a1185942
12178571595983
138b0965bb4a0
14430a78aba4b
1521b1088d126
hex11c146bcc33

1220113321011 has 96 divisors (see below), whose sum is σ = 1973742301440. Its totient is φ = 721405440000.

The previous prime is 1220113320989. The next prime is 1220113321027. The reversal of 1220113321011 is 1101233110221.

1220113321011 is a `hidden beast` number, since 1 + 220 + 11 + 332 + 101 + 1 = 666.

It is not a de Polignac number, because 1220113321011 - 26 = 1220113320947 is a prime.

It is a super-2 number, since 2×12201133210112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1220113321051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175325350 + ... + 175332308.

It is an arithmetic number, because the mean of its divisors is an integer number (20559815640).

Almost surely, 21220113321011 is an apocalyptic number.

1220113321011 is a deficient number, since it is larger than the sum of its proper divisors (753628980429).

1220113321011 is a wasteful number, since it uses less digits than its factorization.

1220113321011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7517 (or 7514 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1220113321011 its reverse (1101233110221), we get a palindrome (2321346431232).

The spelling of 1220113321011 in words is "one trillion, two hundred twenty billion, one hundred thirteen million, three hundred twenty-one thousand, eleven".

Divisors: 1 3 9 13 37 39 101 111 117 303 333 401 481 909 1203 1313 1443 3609 3737 3939 4329 5213 6959 11211 11817 14837 15639 20877 33633 40501 44511 46917 48581 62631 90467 121503 133533 145743 192881 257483 271401 364509 437229 526513 578643 702859 772449 814203 1498537 1579539 1735929 2108577 2317347 2790559 3347279 4495611 4738617 6325731 8371677 9137167 10041837 13486833 19480981 25115031 26005783 27411501 30125511 36277267 58442943 78017349 82234503 103250683 108831801 175328829 234052047 281846459 309752049 326495403 338075179 845539377 929256147 1014225537 1342258879 2536618131 3042676611 3664003967 4026776637 10428318983 10992011901 12080329911 31284956949 32976035703 93854870847 135568146779 406704440337 1220113321011